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Finding the Fourth Proportional to 57,805.33, 79,774.38 and 35,140.63

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Solution

The fourth proportional to 57,805.33, 79,774.38 and 35,140.63 is: 48,495.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,805.33 : 79,774.38 = 35,140.63 : x
  2. Step 2: Convert to fraction form
    57,805.33/79,774.38 = 35,140.63/x
  3. Step 3: Cross multiply
    57,805.33x = 79,774.38 × 35,140.63
  4. Step 4: Simplify right side
    57,805.33x = 2,803,321,971.06
  5. Step 5: Solve for x
    x = 2,803,321,971.06/57,805.33
  6. Step 6: Final answer
    x = 48,495.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.